83182042440 has 768 divisors, whose sum is σ = 336353472000. Its totient is φ = 17398333440.

The previous prime is 83182042399. The next prime is 83182042451. The reversal of 83182042440 is 4424028138.

83182042440 is a `hidden beast` number, since 8 + 3 + 1 + 8 + 204 + 2 + 440 = 666.

It is a super-2 number, since 2×83182042440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 83182042395 and 83182042404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 363240246 + ... + 363240474.

It is an arithmetic number, because the mean of its divisors is an integer number (437960250).

Almost surely, 2^83182042440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83182042440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168176736000).

83182042440 is an abundant number, since it is smaller than the sum of its proper divisors (253171429560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83182042440 is a wasteful number, since it uses less digits than its factorization.

83182042440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 83182042440 in words is "eighty-three billion, one hundred eighty-two million, forty-two thousand, four hundred forty".